1 Answer

If I'm not misunderstanding you, this isn't an equation you need a calculator for, it's basic algebra. Factor out the z from the right side and divide x by the remaining binomial. That's as far as you can go with an equation like this unless you have specific values for these variables, unless this is a question from college Cal 3-4, which I have not yet completed.

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Your scientific calculator is unable to solve complex equation with complex coefficients. You should try to solve by hand directly using the quadratic formula or by factoring the polynomial in zfailing that, another way would be to set z=x+iy, substitute this for z, carry out the algebra and try to separate real and imaginary parts. But your two equations will constitute a system of two quadratic equations. I am not aware of any general method to solve coupled nonlinear equations.Good luck.

To find the solution, first find the value of y for each equation.Then substitue one equation into the other so that you only the x variable left.Then just solve for x.Once you have a value for x, then you can easily solve for y.

Apply what you learned, especially that this system is quite simple.Elimination 1. entails eliminating one variable to find (in this case) a single equation involving the other variable. 2. Solve that new equation, meaning isolate the variable that was not eliminated.3. Substitute the value found in the last step and replace it in one of the original equation to obtain the other variable.

x+y=10x-y=-6

Add the left sides to get x+y+x-y=2xAdd the right sides of the system to obtain 10+(-6)=4Write Sum of left sides =Sum of right sides or 2x=4.Since this new equation involves only x, you can solve it for x, getting x=4/2=2Now you know the value of x (=2)Take one of the original equations (for example x+y=10) and put 2 in place of x.The equation becomes 2+y=10 Solve it to obtain y=10-2=8Thus your solution is x=2, y=8

Check: use one equation in which you substitute 2 for x and 8 for y: x-y=-6 becomes 2-8=-6Verified.In the general case you will have to multiply by certain values to obtain opposite coefficients for the same variable. Here that was not necessary because the coefficient of y is 1 in the first equation and -1 in the second.

This calculator doesn't really support a solver like that. You can use Woflram Alpha to solve equations like that really quickly. Example
There are more expensive calculators that will solve these types of equations, but I would recommend just using Wolfram Alpha whenever you need a solution to a math problem.

It looks like overkill to use the calculator to solve this first order linear equation but I will show you how to use the Solve function available on this calculator.

First solution: Pen and paper.

Use the properties of proportions: Let a, b, c, and d numbers, with b, and d not equal to 0if a/b=c/d then a*d=b*cTo apply it to your case, you set a=2.5, b=7, c=x, and d=10.This gives 2.5*10=7*xDividing both members of the equation by 7 yields x=25/7.

Using the SOLVE program

Calculator should be in computational mode: Press [MODE][1:COMP]

Type in the equation in the way described below:

You will need to use the key sequence [ALPHA][CALC] (=) to insert the = sign, the one at the top left, not the one at the bottom right.

You will need to use the sequence [SHIFT][CALC] (SOLVE) to order the calculator to start solving your equation.

You will need the key sequence [ALPHA] [)] to insert the X variable.

Now that you have been alerted to the sequaences you will need, here is how to enter your equation.

2.5/7 [ALPHA][CALC] (=) [ALPHA] [ ) ] (X) /10

While the above sequence is in the command line with the cursor still blinking to the right of the 0, press [SHIFT][CALC] to access the (SOLVE) command.

The calculator displays in the top line of the dispaly "Solve for X". At the bottom there would be some old (irrelevant value).

At this point you are expected to enter a value for your initial guess.

You can for example enter 2 and press [=] at the bottom right. If you do not type a guess, the calculator uses the old (irrelevant) value as initial guess.

So you enter initial guess 2 and press the [=/EXE] key at the bottom.

After a while (could be short , if the initial guess is inspired) the calculator returns with the solution.

The solution display screen recalls your equation on the top line,

X=3.571428571 on the middle line, and

L-R= 0 on the bottom line.

The L-R=0, tells you that the difference between the LEFT side and the RIGHT side of your equation is 0. That means the X given in the second line is the solution within the tolerance of the calculator.

If you are not happy with the solution (L-R different from 0), or the calculator failed to return a solution, you can press [SHIFT][CALC] (SOLVE) to restart with a better guess.

Sorry, but what you wrote is not an equation but a polynomial expression. You want to solve the equation x^4+5x^3-3x^2-43x-60 =0.

The solve( command, can only be used with real numbers.The solve( is available through the CATALOG :
[2nd][CATALOG], scroll down till you reach the command. Highlight it
and press [ENTER]. The command echodes on main screen as solve( .You
complete the command by entering the expression (not the equation), the
name of the variable you solve for, the initial guess , and { lower
limit, upper limit} between curly brackets, and the closing parenthesis.Exemple:solve (x^4+5x^3-3x^2-43x-60 , x,0 {-5,0} ) [ENTER]should give you the negative root,solve (x^4+5x^3-3x^2-43x-60 , x,0 {0,5} ) [ENTER]should give you the positive root.

It
is implied that the expression is 0, so you should not
insert =0, otherwise you get an error. Here for the lower limit is -5 you
must use the change sign symbol (-) under the 3 key, not the regular
MINUS.

You may ask how I knew that there were two roots when the equation is a quartic? By first graphing it to have an idea about where the roots lie and how many there are. You should always do that to speed up the search.

There is another way to zoom in on the roots: by drawing the graph and using the tools accessible under the [2nd][CALC] menu, namely the option [2:Zero]The resolution of the TI83/84 is not good enough for this function that grows too fast, but I am inserting a picture of the curve from another calculator with a much better resolution.

Hello,
Sorry this calculator cannot solve equations. It does not have the program. It does not know how to do those things. However it can calculate. Before you can use the calculator you must prepare all yourself. When you have solved the problem, you ask the calculator to compute the value of what you found.

Let us clean the equation a bit
2(x-4) -5x=-5
Get rid of the parentheses 2(x-4) becomes 2x-2*4=2x-8 .Put that result where it was in equation
2x-8 -5x=-5
Group together the terms that have x in them 2x-5x=-3x
Then
2x-8-5x=-5, becomes -3x-8=-5
You want to isolate the term with x (have it on one side, and the others on the other side) -3x= -5 -(-8)= -5+8 =3.

The equation becomes
-3x=3 Thus -x=3/3=1 and x=-1.In general you would have obtained x= (some number/some other number) and that is where the calculator would intervene.

Hello,
I do not understand what you mean by solve complex equations, but if you want to manipulate complex numbers here are the tools you need to enter your complex numbers. Operations and function evaluations do not need special symbols.